Abstract
The linearly elastic dumbbell is used to model dilute polymer solutions with an interface which preferentially attracts or repels the polymer. Expressions are derived for the three-dimensional solution properties near the surface, such as the number density of dumbbells and stress, and also the two-dimensional properties which can be assigned to the surface, such as adsorption, surface tension, and surface rheological properties. A relationship is found between surface equilibrium properties and surface rheological properties, suggesting a method to predict the dynamic properties of the surface solely from measurements of equilibrium surface tension. The surface rheological properties are anisotropic, indicating that for most shearing flows a single surface viscosity is insufficient to describe the flow. In thin films a stabilization mechanism occurs when single polymer molecules straddle the film. This could retard the draining of thinning films.
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